Factorize:

Question:

Factorize:

$x^{2}-(a+b) x+a b$

 

Solution:

We have:

$x^{2}-(a+b) x+a b=x^{2}-a x-b x+a b$

$=\left(x^{2}-a x\right)-(b x-a b)$

$=x(x-a)-b(x-a)$

$=(x-a)(x-b)$

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